463.74 is what percent of 8517.44 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 8517.44 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 8517.44, so we can write it down as 100%=8517.44.
4. We know, that x% equals 463.74 of the output value, so we can write it down as x%=463.74.
5. Now we have two simple equations:
1) 100%=8517.44
2) x%=463.74
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=8517.44/463.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 463.74 is what percent of 8517.44

100%/x%=8517.44/463.74
(100/x)*x=(8517.44/463.74)*x       - we multiply both sides of the equation by x
100=18.366843489887*x       - we divide both sides of the equation by (18.366843489887) to get x
100/18.366843489887=x
5.4445936807304=x
x=5.4445936807304

now we have:
463.74 is 5.4445936807304% of 8517.44